If y=80 when x=32, find x when y=100.
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Answer:
The coordinates of the solution that lies in quadrant IV are (2, -5)
Step-by-step explanation:
We have 2 equations, the first of an ellipse and the second of a circumference.
To solve the system solve the second equation for x and then substitute in the first equation
So Substituting in the first equation we have
Now we must factor the quadratic expression.
We look for two numbers that multiply as a result -5 and add them as result 4.
These numbers are -1 and 5.
Then the factors are
Therefore the system solutions are:
;
In the 4th quadrant the values of x are positive and the values of y are negative.
So we take the negative value of y and substitute it into the system equation to find x
, and
In the 4th quadrant the values of x are positive
So we take the positive value of x
<em><u>the coordinates of the solution that lies in quadrant IV are (2, -5)</u></em>